Answer:
Step-by-step explanation:
to solve this problem we can use the Pythagorean theorem
UT and TL are the legs, while LU is the hypotenuse
We have to find LU so we can proceed like this
x^2 + (x+1)^2 = LU^2
x^2 + x^2 + 1 + 2x = LU^2
2x^2 + 2x + 1 = LU^2
LU = +/- 
we have to take only the positive value because a length can’t be negative.
2x^2 + 2x + 1 is positive for every value of x, so the final answer is

Answer:
Step-by-step explanation:
counting money after shopping or depositing money
Answer:
First number: -39
Second number: -37
Step-by-step explanation:
An odd number can be written as
where n is a whole number.
Let's call our first number 2n+1.
Our second, consecutive number will be 2 more than our first number, since it has to be odd. All numbers go: odd -> even -> odd -> even. If we have an odd number, and add 2, we'll get the next odd number.
First number: 2n+1
Second number: 2n+1+2 = 2n+3
The sum of these two numbers, 2n+1 and 2n+3 will be -76.
(2n+1) + (2n+3) = -76
2n + 2n + 1 + 3 = -76
4n + 4 = -76
4n = -80
n = -20
Since our first number is 2n+1:
2 * (-20) + 1 = -40 + 1 = -39
First number: -39
Our second number is 2n+3, or 2 more than our first number.
-39 + 2 = -37
Second number: -37
We can double check this:
-39 + (-37) = -39 - 37 = -76
Answer: 0.033 liters or 33 ml each
Step-by-step explanation:
There are 33 liters of orange juice and 1,010 students to drink it.
If they are to drink an equal amount, you should divide the quantity of orange juice by the number of students who want to drink it:
= Quantity of orange juice / Number of students drinking
= 33 / 1,010
= 0.033 liters each
In milliliters this would be:
= 0.033 * 1,000 milliliters
= 33 ml each
Answer:
(3x+7)(x+5)
Step-by-step explanation:
i think lol